已知二次函数y=ax^2+bx+3的图像与x轴相交于点A、C,与y轴相交于点B,A(-9/4,0),且△AOB~△BOC在线段AC上是否存在点N(m,0).使得线段BM为直径的圆于边BC交于P点(与点B不同),且就点P,C,O为顶点的三角
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![已知二次函数y=ax^2+bx+3的图像与x轴相交于点A、C,与y轴相交于点B,A(-9/4,0),且△AOB~△BOC在线段AC上是否存在点N(m,0).使得线段BM为直径的圆于边BC交于P点(与点B不同),且就点P,C,O为顶点的三角](/uploads/image/z/5300452-28-2.jpg?t=%E5%B7%B2%E7%9F%A5%E4%BA%8C%E6%AC%A1%E5%87%BD%E6%95%B0y%3Dax%5E2%2Bbx%2B3%E7%9A%84%E5%9B%BE%E5%83%8F%E4%B8%8Ex%E8%BD%B4%E7%9B%B8%E4%BA%A4%E4%BA%8E%E7%82%B9A%E3%80%81C%2C%E4%B8%8Ey%E8%BD%B4%E7%9B%B8%E4%BA%A4%E4%BA%8E%E7%82%B9B%2CA%28-9%2F4%2C0%29%2C%E4%B8%94%E2%96%B3AOB%7E%E2%96%B3BOC%E5%9C%A8%E7%BA%BF%E6%AE%B5AC%E4%B8%8A%E6%98%AF%E5%90%A6%E5%AD%98%E5%9C%A8%E7%82%B9N%EF%BC%88m%2C0%EF%BC%89.%E4%BD%BF%E5%BE%97%E7%BA%BF%E6%AE%B5BM%E4%B8%BA%E7%9B%B4%E5%BE%84%E7%9A%84%E5%9C%86%E4%BA%8E%E8%BE%B9BC%E4%BA%A4%E4%BA%8EP%E7%82%B9%EF%BC%88%E4%B8%8E%E7%82%B9B%E4%B8%8D%E5%90%8C%EF%BC%89%2C%E4%B8%94%E5%B0%B1%E7%82%B9P%2CC%2CO%E4%B8%BA%E9%A1%B6%E7%82%B9%E7%9A%84%E4%B8%89%E8%A7%92)
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